/mod ( x y -- z w )
Factor handbook » The language » Numbers » Arithmetic » Modular arithmetic

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Vocabulary
math

Inputs

x	a real
y	a real

Outputs

z	an integer
w	a real

Word description
Computes the quotient z and remainder w of dividing x by y, with the remainder being negative if x is negative.

•	The quotient of two fixnums may overflow and yield a bignum; the remainder is always a fixnum
•	The quotient and remainder of two bignums is always a bignum.

Examples

USING: kernel math prettyprint ; 5 3 /mod [ . ] bi@
1 2

USING: kernel math prettyprint ; 5/2 1/3 /mod [ . ] bi@
7 1/6

See also
Division by zero

Definition

IN: math

MATH: /mod ( x y -- z w ) foldable flushable

Methods

USING: math math.private ;

M: bignum /mod bignum/mod ; inline


USING: math math.private ;

M: fixnum /mod fixnum/mod ; inline


USING: kernel math math.ratios.private ;

M: ratio /mod scale+d [ /mod ] [ / ] bi* ;


USING: kernel math ;

M: real /mod 2dup mod [ swap [ - ] [ /i ] bi* ] keep ; inline